Asymptotic formulas for Macdonald polynomials and the boundary of the \((q,t)\)-Gelfand-Tsetlin graph
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Publication:1704987
DOI10.3842/SIGMA.2018.001zbMath1384.33033arXiv1704.02429OpenAlexW2606227805MaRDI QIDQ1704987
Publication date: 14 March 2018
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.02429
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Applications of basic hypergeometric functions (33D90)
Related Items (9)
Gaussian fluctuations for products of random matrices ⋮ Pieri integral formula and asymptotics of Jack unitary characters ⋮ \(q\)-deformed character theory for infinite-dimensional symplectic and orthogonal groups ⋮ Asymptotic formulas for Macdonald polynomials and the boundary of the \((q,t)\)-Gelfand-Tsetlin graph ⋮ Type classification of extreme quantized characters ⋮ Inductive limits of compact quantum groups and their unitary representations ⋮ Macdonald polynomials and extended Gelfand-Tsetlin graph ⋮ The boundary of the orbital beta process ⋮ Quantized Vershik-Kerov theory and quantized central measures on branching graphs
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